A vacuum pump has a cylinder of volume and is connected to a vessel of volume to pump…

PHYSICS · Subjective · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

A vacuum pump has a cylinder of volume

v

and is connected to a vessel of volume

V

to pump out air from the vessel. The initial pressure of gas in vessel is

P

. Show that after

n

strokes, the pressure in vessel is reduced to

P_n = P \left[ \frac{V}{V+v} \right]^n